论文标题

广义边界价值问题的绿色功能解决方案

Green function solution of generalised boundary value problems

论文作者

Mkrtchian, Vanik E., Henkel, Carsten

论文摘要

我们构建一个表达式的差分运算符的绿色功能,该操作员满足了从差分运算符的基本解决方案开始的非本地,同质边界条件。这也提供了解决不均匀偏微分方程的边界值问题的解决方案,该方程不均匀,非局部和线性边界条件。该结构通常适用于所有类型的线性部分微分方程和线性边界条件。

We construct an expression for the Green function of a differential operator satisfying nonlocal, homogeneous boundary conditions starting from the fundamental solution of the differential operator. This also provides the solution to the boundary value problem of an inhomogeneous partial differential equation with inhomogeneous, nonlocal, and linear boundary conditions. The construction generally applies for all types of linear partial differential equations and linear boundary conditions.

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